The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
- Autores
- Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.
Fil: Collier, Nathan. King Abdullah University Of Science And Technology;
Fil: Pardo, David. Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Campus Bizkaia;
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Paszynski, Maciej. Agh University Of Science And Technology;
Fil: Calo, V.M.. King Abdullah University Of Science And Technology; - Materia
-
Direct Solvers
Isogeometric Analysis
K-Refinement
Multi-Frontal Solvers
Performance - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/76419
Ver los metadatos del registro completo
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The cost of continuity: a study of the performance of isogeometric finite elements using direct solversCollier, NathanPardo, DavidDalcin, Lisandro DanielPaszynski, MaciejCalo, V.M.Direct SolversIsogeometric AnalysisK-RefinementMulti-Frontal SolversPerformanceWe study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.Fil: Collier, Nathan. King Abdullah University Of Science And Technology;Fil: Pardo, David. Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Campus Bizkaia;Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Paszynski, Maciej. Agh University Of Science And Technology;Fil: Calo, V.M.. King Abdullah University Of Science And Technology;Elsevier Science Sa2012-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76419Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-3610045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2011.11.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:57:52Zoai:ri.conicet.gov.ar:11336/76419instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:57:52.404CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
title |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
spellingShingle |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers Collier, Nathan Direct Solvers Isogeometric Analysis K-Refinement Multi-Frontal Solvers Performance |
title_short |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
title_full |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
title_fullStr |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
title_full_unstemmed |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
title_sort |
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers |
dc.creator.none.fl_str_mv |
Collier, Nathan Pardo, David Dalcin, Lisandro Daniel Paszynski, Maciej Calo, V.M. |
author |
Collier, Nathan |
author_facet |
Collier, Nathan Pardo, David Dalcin, Lisandro Daniel Paszynski, Maciej Calo, V.M. |
author_role |
author |
author2 |
Pardo, David Dalcin, Lisandro Daniel Paszynski, Maciej Calo, V.M. |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Direct Solvers Isogeometric Analysis K-Refinement Multi-Frontal Solvers Performance |
topic |
Direct Solvers Isogeometric Analysis K-Refinement Multi-Frontal Solvers Performance |
dc.description.none.fl_txt_mv |
We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause. Fil: Collier, Nathan. King Abdullah University Of Science And Technology; Fil: Pardo, David. Universidad del Pais Vasco - Euskal Herriko Unibertsitatea, Campus Bizkaia; Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina Fil: Paszynski, Maciej. Agh University Of Science And Technology; Fil: Calo, V.M.. King Abdullah University Of Science And Technology; |
description |
We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-03 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/76419 Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-361 0045-7825 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/76419 |
identifier_str_mv |
Collier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-361 0045-7825 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2011.11.002 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science Sa |
publisher.none.fl_str_mv |
Elsevier Science Sa |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844613728548421632 |
score |
13.070432 |